If triangle RST is congruent to triangle WXY, by the Angle-Side-Angle Theorem, which transformation would not map triangle RST to triangle WXY? a. Horizontal shift 4 units left b. Reflection across the y axis C. Dilation with a scale factor of 3 d. Rotation of 90° around the origin
If triangle RST is congruent to triangle WXY, by the Angle-Side-Angle Theorem, which transformation would not map triangle RST to triangle WXY?
a. Horizontal shift 4 units left
b. Reflection across the y axis
C. Dilation with a scale factor of 3
d. Rotation of 90° around the origin
Answer:
C. dilation with a scale factor of 3
Step-by-step explanation:
If triangle RST is congruent to triangle WXY by the Angle-Side-Angle Theorem, then a **dilation with a scale factor of 3** would not map triangle RST to triangle WXY. Congruent triangles have the same shape and size, meaning that their corresponding sides and angles are equal. A dilation changes the size of a figure but not its shape, so it would not preserve congruence between the two triangles.
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